https://mediawiki.fernfh.ac.at/mediawiki/index.php?action=history&feed=atom&title=Linear_Algebra_and_Algorithms 2026-05-20T07:43:11Z Versionsgeschichte dieser Seite in FernFH MediaWiki MediaWiki 1.37.0 https://mediawiki.fernfh.ac.at/mediawiki/index.php?title=Linear_Algebra_and_Algorithms&diff=6548&oldid=prev 2025-03-13T20:47:22Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de-AT"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 13. März 2025, 20:47 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l375">Zeile 375:</td> <td colspan="2" class="diff-lineno">Zeile 375:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div id=&quot;fig:Sarrus_rule&quot; class=&quot;figure&quot;&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div id=&quot;fig:Sarrus_rule&quot; class=&quot;figure&quot;&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[<del style="font-weight: bold; text-decoration: none;">File</del>:./<del style="font-weight: bold; text-decoration: none;">figs</del>/<del style="font-weight: bold; text-decoration: none;">Sarrus_rule1</del>.<del style="font-weight: bold; text-decoration: none;">png</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[<ins style="font-weight: bold; text-decoration: none;">Datei</ins>:<ins style="font-weight: bold; text-decoration: none;">Sarrus_rule1.png|460px|thumb|center|Figure 12: Illustration of Sarrus rule for computing the determinant of $3 \times 3$ matrix (Source: By Kmhkmh - Own work, CC BY 4.0, \url{https://commons.wikimedia</ins>.<ins style="font-weight: bold; text-decoration: none;">org</ins>/<ins style="font-weight: bold; text-decoration: none;">w</ins>/<ins style="font-weight: bold; text-decoration: none;">index</ins>.<ins style="font-weight: bold; text-decoration: none;">php?curid=127614131})</ins>]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l386">Zeile 386:</td> <td colspan="2" class="diff-lineno">Zeile 386:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div id=&quot;fig:2D_det_area&quot; class=&quot;figure&quot;&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div id=&quot;fig:2D_det_area&quot; class=&quot;figure&quot;&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[<del style="font-weight: bold; text-decoration: none;">File</del>:./<del style="font-weight: bold; text-decoration: none;">figs</del>/<del style="font-weight: bold; text-decoration: none;">2D_determinant_as_area_parallelogram</del>.<del style="font-weight: bold; text-decoration: none;">png</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[<ins style="font-weight: bold; text-decoration: none;">Datei</ins>:<ins style="font-weight: bold; text-decoration: none;">2D_determinant_as_area_parallelogram</ins>.<ins style="font-weight: bold; text-decoration: none;">png|460px|thumb|center|Figure 13: Geometric interpretation of determinant of 2D square matrix as area of parallelogram (Source: By TheWanderingTraders - This SVG diagram includes elements that have been taken or adapted from this diagram:, CC BY-SA 4.0, \url{https:</ins>//<ins style="font-weight: bold; text-decoration: none;">commons.wikimedia.org/w/index</ins>.<ins style="font-weight: bold; text-decoration: none;">php?curid=158528546})</ins>]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l393">Zeile 393:</td> <td colspan="2" class="diff-lineno">Zeile 393:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div id=&quot;fig:3D_det_area&quot; class=&quot;figure&quot;&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;div id=&quot;fig:3D_det_area&quot; class=&quot;figure&quot;&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[<del style="font-weight: bold; text-decoration: none;">File</del>:./<del style="font-weight: bold; text-decoration: none;">figs</del>/<del style="font-weight: bold; text-decoration: none;">3D_determinant_as_area_parallelepiped</del>.<del style="font-weight: bold; text-decoration: none;">png</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[<ins style="font-weight: bold; text-decoration: none;">Datei</ins>:<ins style="font-weight: bold; text-decoration: none;">3D_determinant_as_area_parallelepiped.png|460px|thumb|center|Figure 14: Geometric interpretation of determinant of 3D square matrix as area of parallelepiped (By Claudio Rocchini - Own work, CC BY 3</ins>.<ins style="font-weight: bold; text-decoration: none;">0, \url{https:</ins>//<ins style="font-weight: bold; text-decoration: none;">commons.wikimedia.org/w/index</ins>.<ins style="font-weight: bold; text-decoration: none;">php?curid=2788190})</ins>]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/div&gt;</div></td></tr> </table>

SAFFER Zsolt https://mediawiki.fernfh.ac.at/mediawiki/index.php?title=Linear_Algebra_and_Algorithms&diff=6526&oldid=prev 2025-03-11T22:48:57Z

<p>Die Seite wurde neu angelegt: „&lt;span id=&quot;linear-algebra-and-algorithms&quot;&gt;&lt;/span&gt; = Linear Algebra and Algorithms = For a comprehensive subject on linear algebra the reader is referred to the book [Lang(1987)]. &lt;span id=&quot;linear-algebra&quot;&gt;&lt;/span&gt; == Linear Algebra == &lt;span id=&quot;basic-terms-and-definitions&quot;&gt;&lt;/span&gt; === Basic terms and definitions === A vector is a one-dimensional array of scalars, i.e. real or complex numbers. We will denote a vector by lowercase bold letters, like e.g.…“</p> <a href="https://mediawiki.fernfh.ac.at/mediawiki/index.php?title=Linear_Algebra_and_Algorithms&amp;diff=6526">Änderungen zeigen</a>

SAFFER Zsolt